There are no vital and significant forms of art; there is only art, and precious little of that.
I have come to believe that a great teacher is a great artist and that there are as few as there are any other great artists. Teaching might even be the greatest of the arts since the medium is the human mind and spirit.
The best way to be successful is to learn from your mistakes.
The Langlands program is a framework for understanding the deeper structures of mathematics.